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Finding the Third Proportional to 611,832 and 860,058

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Solution

The third proportional to 611,832 and 860,058 is: 1,208,991.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,832 : 860,058 = 860,058 : x
  2. Step 2: Convert to fraction form
    611,832/860,058 = 860,058/x
  3. Step 3: Cross multiply
    611,832x = 860,058 × 860,058
  4. Step 4: Simplify right side
    611,832x = 739,699,763,364
  5. Step 5: Solve for x
    x = 739,699,763,364/611,832
  6. Step 6: Final answer
    x = 1,208,991.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.